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Finding the Fourth Proportional to 169,751.63, 234,159.76 and 105,978.71

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Solution

The fourth proportional to 169,751.63, 234,159.76 and 105,978.71 is: 146,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,751.63 : 234,159.76 = 105,978.71 : x
  2. Step 2: Convert to fraction form
    169,751.63/234,159.76 = 105,978.71/x
  3. Step 3: Cross multiply
    169,751.63x = 234,159.76 × 105,978.71
  4. Step 4: Simplify right side
    169,751.63x = 24,815,949,298.71
  5. Step 5: Solve for x
    x = 24,815,949,298.71/169,751.63
  6. Step 6: Final answer
    x = 146,189.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.